Question
The perimeter of a regular hexagon is 42 inches.
Let ℓ represent the length of each side of the hexagon. Which equation models the problem?
6ℓ=42
ℓ
6
=42
Solve this equation to find the length of each side of the hexagon.
inches
Let ℓ represent the length of each side of the hexagon. Which equation models the problem?
6ℓ=42
ℓ
6
=42
Solve this equation to find the length of each side of the hexagon.
inches
Answers
GPT-4o mini
To find the length of each side of the regular hexagon, we can start with the equation that models the problem. Since a regular hexagon has 6 equal sides, we can represent the perimeter (P) of the hexagon as:
\[
P = 6\ell
\]
Given that the perimeter is 42 inches, we can set up the equation:
\[
6\ell = 42
\]
Next, to find the length of each side (\(\ell\)), we can solve this equation. To do this, divide both sides by 6:
\[
\ell = \frac{42}{6}
\]
Calculating the right side gives:
\[
\ell = 7
\]
Thus, the length of each side of the hexagon is \(7\) inches.
\[
P = 6\ell
\]
Given that the perimeter is 42 inches, we can set up the equation:
\[
6\ell = 42
\]
Next, to find the length of each side (\(\ell\)), we can solve this equation. To do this, divide both sides by 6:
\[
\ell = \frac{42}{6}
\]
Calculating the right side gives:
\[
\ell = 7
\]
Thus, the length of each side of the hexagon is \(7\) inches.